z+6=2(4z+10)

Solution for z+6=2(4z+10) equation:

Simplifying
z + 6 = 2(4z + 10)

Reorder the terms:
6 + z = 2(4z + 10)

Reorder the terms:
6 + z = 2(10 + 4z)
6 + z = (10 * 2 + 4z * 2)
6 + z = (20 + 8z)

Solving
6 + z = 20 + 8z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-8z' to each side of the equation.
6 + z + -8z = 20 + 8z + -8z

Combine like terms: z + -8z = -7z
6 + -7z = 20 + 8z + -8z

Combine like terms: 8z + -8z = 0
6 + -7z = 20 + 0
6 + -7z = 20

Add '-6' to each side of the equation.
6 + -6 + -7z = 20 + -6

Combine like terms: 6 + -6 = 0
0 + -7z = 20 + -6
-7z = 20 + -6

Combine like terms: 20 + -6 = 14
-7z = 14

Divide each side by '-7'.
z = -2

Simplifying
z = -2